Consider the function: f(x) = 8x2 + 7x - 7 Recall that the definition of the derivative is: lim f(act h) - f(2) h -0 h (A) In terms of x and h only, find a simplified expression for only the numerator of this expression, f(x t h) - f(z): f (x t h) - f(2) = f(ath) - f(2) (B) Now find a simplified expression for the expression h f(act h) - f(2) h (C) So what is the derivative of f(a) = 8x2 + 7ac - 7? lim f (act h ) - f (2) h -0 hConsider the function: f(m) = 6:1: + 5 Recall that the definition of the derivative is: lim f(:r: + h) f(m) h>0 h (A) In terms of a: and h only, find the numerator of this expression, f(m + h) at): Hm\") 40\") =:] f(93 + h) f0\") h (B) Now find a Si_rm3lified expression for the expression after you rationalize the numerator: m+h)_\"m)=:] h (C) 50 what is the derivative of an) = 63: + 5? \"\""*\"i =: h>0 h 7 Consider the function: f(x) = - 2 + 7 Recall that the definition of the derivative is: lim f(act h) - f(2) h -0 h (A) In terms of x and h only, find a simplified expression for the numerator of this expression, f(a + h) - f() having gotten a common denominator: f(a + h) - f(2) = (B) Now find a simplified expression for the expression f(ath) - f(2). h f(x + h) - f(2) h 7 (C) So what is the derivative of f(x) = 2 + 7 f(act h) - f(2) lim h -0 h